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Finding the Fourth Proportional to 3,063.38, 4,227.46 and 1,737.20

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Solution

The fourth proportional to 3,063.38, 4,227.46 and 1,737.20 is: 2,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.38 : 4,227.46 = 1,737.20 : x
  2. Step 2: Convert to fraction form
    3,063.38/4,227.46 = 1,737.20/x
  3. Step 3: Cross multiply
    3,063.38x = 4,227.46 × 1,737.20
  4. Step 4: Simplify right side
    3,063.38x = 7,343,949.74
  5. Step 5: Solve for x
    x = 7,343,949.74/3,063.38
  6. Step 6: Final answer
    x = 2,397.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.